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122220433424 = 242313710492311
BaseRepresentation
bin111000111010011100…
…1111101000000010000
3102200110202022022112102
41301310321331000100
54000301412332144
6132051452015532
711554510354145
oct1616471750020
9380422268472
10122220433424
1147919280671
121b82b4615a8
13b6aa2214bb
145cb61c23cc
1532a4dabb4e
hex1c74e7d010

122220433424 has 80 divisors (see below), whose sum is σ = 249246547200. Its totient is φ = 57946183680.

The previous prime is 122220433367. The next prime is 122220433441. The reversal of 122220433424 is 424334022221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52885229 + ... + 52887539.

It is an arithmetic number, because the mean of its divisors is an integer number (3115581840).

Almost surely, 2122220433424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122220433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124623273600).

122220433424 is an abundant number, since it is smaller than the sum of its proper divisors (127026113776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122220433424 is a wasteful number, since it uses less digits than its factorization.

122220433424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 122220433424 its reverse (424334022221), we get a palindrome (546554455645).

The spelling of 122220433424 in words is "one hundred twenty-two billion, two hundred twenty million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 137 184 274 368 548 1049 1096 2098 2192 2311 3151 4196 4622 6302 8392 9244 12604 16784 18488 24127 25208 36976 48254 50416 53153 96508 106306 143713 193016 212612 287426 316607 386032 425224 574852 633214 850448 1149704 1266428 2299408 2424239 2532856 3305399 4848478 5065712 6610798 7281961 9696956 13221596 14563922 19393912 26443192 29127844 38787824 52886384 55757497 58255688 111514994 116511376 223029988 332120743 446059976 664241486 892119952 1328482972 2656965944 5313931888 7638777089 15277554178 30555108356 61110216712 122220433424